Abstract
This paper describes a multiobjective differential evolution approach to the optimization of the design of alternating current distributed stator windings of electric motors. The objective functions are minimizing both the machine airgap magnetomotive force distortion and the winding wire length. Constraints are related to the physical feasibility of solutions. Four distinct winding types are considered. Three mutation variations of the multiobjective differential evolution algorithm are developed and assessed using different performance metrics. These algorithmic approaches are able to generate well-distributed, uniformly spread solutions on the nondominated front. The characterization of the nondominated fronts conveys helpful information for aiding design engineers to choose the most suitable compromise solution for a specific machine, embodying a balanced trade-off between machine efficiency and manufacturing cost.
A. M. Silva acknowledges the support by the Portuguese Science and Technology Foundation (FCT).
C. H. Antunes acknowledges the support of projects UID/Multi/308/2019, ESGRIDS (POCI-01-0145-FEDER-016434) and MAnAGER (POCI-01-0145-FEDER-028040).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Tessarolo, A.: A quadratic-programming approach to the design optimization of fractional-slot concentrated windings for surface permanent-magnet machines. IEEE Trans. Energy Convers. 33(1), 442–452 (2018)
Smith, A.C., Delgado, D.: Automated AC winding design. In: 5th IET International Conference on Power Electronics, Machines and Drives (PEMD 2010), pp. 1–6, April 2010
Bekka, N., ZaĂ¯m, M.E.H., Bernard, N., Trichet, D.: A novel methodology for optimal design of fractional slot with concentrated windings. IEEE Trans. Energy Convers. 31(3), 1153–1160 (2016)
Silva, A.M., Ferreira, F.J.T.E., FalcĂ¡o, G.F., Rodrigues, M.: Novel method to minimize the air-gap MMF spatial harmonic content in three-phase windings. In: 2018 XIII International Conference on Electrical Machines (ICEM), pp. 2504–2510, September 2018
Vesterstrom, J., Thomsen, R.: A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems. In: Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No. 04TH8753), vol. 2, pp. 1980–1987, June 2004
Salvatore, N., Caponio, A., Neri, F., Stasi, S., Cascella, G.L.: Optimization of delayed-state kalman-filter-based algorithm via differential evolution for sensorless control of induction motors. IEEE Trans. Industr. Electron. 57(1), 385–394 (2010)
Pan, X., Zhu, J., Chen, H., Chen, X., Hu, K.: A differential evolution-based hybrid NSGA-II for multi-objective optimization. In: 2015 IEEE 7th International Conference on Cybernetics and Intelligent Systems (CIS) and IEEE Conference on Robotics, Automation and Mechatronics (RAM), pp. 81–86 (2015)
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)
Price, K.V., Storn, R.M., Lampinen, J.A.: Differential Evolution: A Practical Approach. NCS. Springer, Heidelberg (2005). https://doi.org/10.1007/3-540-31306-0
Woldesenbet, Y.G., Yen, G.G., Tessema, B.G.: Constraint handling in multiobjective evolutionary optimization. IEEE Trans. Evol. Comput. 13(3), 514–525 (2009)
Sarker, R., Coello Coello, C.A.: Assessment Methodologies for Multiobjective Evolutionary Algorithms, vol. 48, pp. 177–195. Springer, Boston (2002). https://doi.org/10.1007/0-306-48041-7_7
Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: a comparative case study and the strength pareto approach. IEEE Trans. Evol. Comput. 3(4), 257–271 (1999)
Riquelme, N., LĂ¼cken, C.V., Baran, B.: Performance metrics in multi-objective optimization. In: 2015 Latin American Computing Conference (CLEI), pp. 1–11, October 2015
Fonseca, C.M., Fleming, P.J.: On the performance assessment and comparison of stochastic multiobjective optimizers. In: Voigt, H.M., Ebeling, W., Rechenberg, I., Schwefel, H.P. (eds.) Parallel Problem Solving from Nature – PPSN IV, pp. 584–593. Springer, Heidelberg (1996). https://doi.org/10.1007/3-540-61723-X_1022
Ishibuchi, H., Murata, T.: A multi-objective genetic local search algorithm and its application to flowshop scheduling. IEEE Trans. Syst. Man Cybern. Part C (Appl. Rev.) 28(3), 392–403 (1998)
Bandyopadhyay, S., Saha, S., Maulik, U., Deb, K.: A simulated annealing-based multiobjective optimization algorithm: amosa. IEEE Trans. Evol. Comput. 12(3), 269–283 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Silva, A.M., Ferreira, F.J.T.E., Antunes, C.H. (2019). A Hybrid Multiobjective Differential Evolution Approach to Stator Winding Optimization. In: Kaufmann, P., Castillo, P. (eds) Applications of Evolutionary Computation. EvoApplications 2019. Lecture Notes in Computer Science(), vol 11454. Springer, Cham. https://doi.org/10.1007/978-3-030-16692-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-16692-2_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-16691-5
Online ISBN: 978-3-030-16692-2
eBook Packages: Computer ScienceComputer Science (R0)